Research of Errors in Measuring Instruments with Fixed Ends of Measurement Range by Integral Functional Method

The article presents the research results of additional errors in measuring instruments caused by the change of normalized influential parameters. The analysis of modern methods of additional measurement errors determination is performed, and their disadvantages are shown. A new method for research and determination of additional errors is proposed, which is based on Euler’s optimality integral functional. Applicability of such measurement errors research by the integral functional method is substantiated, the essence of which is to determine the difference of planes with nominal and current static characteristics of the measuring instrument with further definition of the integral functional and measurement errors. The research results of additional measurement errors are presented for the case when the static characteristic of the measuring instrument is linear and fixed at the initial input signal. It is shown that for measuring instruments with the linear static characteristic the change of the influence parameter does not change the characteristic linearity, but only leads to nonlinearity of the additional measurement error with increase in deviation of the influence parameter from its normalized value. The mathematical models of additional measurement errors and their graphical distribution along the measurement range are presented.